Question

Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student lives in off-campus housingExpress your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answer 1

Given:

The total number of students = Add all the values in the given table = 2+2+4+0+2+4+3+3+0+3 = 23 students.

The number of graduate students living in off-campus housing = 3

Required:

We need to find the probability that a randomly chosen member of the Student Government Board is a graduate student who lives in off-campus housing.

Step-by-step explanation:

The sample space = Students on the Student Government Board

`n(S)=23`

Let A be the event of choosing a graduate student who lives in off-campus housing.

The favourable outcomes = graduate students living in off-campus housing

`n(A)=3`

The probability that a randomly chosen graduate student who lives in off-campus housing.

`P(A)=(n(A))/(n(S))=(3)/(23)`

Final answer:

The probability of a randomly chosen graduate student living in off-campus housing is 3/23.